Тест 1.3 Beam with tightener

Verification of the LIRA-FEM software / Тест 1.3 Beam with tightener / Analytical solution: M. Laredo, Résistance des matériaux, Paris, Dunod, 1970, p. 77.



Analytical solution: M. Laredo, Résistance des matériaux, Paris, Dunod, 1970, p. 77.

Geometry:
Стержни AD, DF, FB: А = 0.01516 м2; Аr = A/2.5; I = 2.174 x 10-4 м4.
Стержни AC, DC, CE, FE, EB: А1 = А2 = 4.5 x 10-3 м2; А3 = 3.48 x 10-3 м2.
а = 2 м; b = 4 м; l = 8 м; с = 0.6 м; d = 2.088 м.

Material characteristics: Isotropic elastic, Е=2.1 х 1011 Па, G=0.4 x Е Па.

Boundary conditions: uA = vA = 0; vB = 0.

Stresses:


p = -50000Н/м.
The tightening is tightened on the
δ = 6.52 x 10-3 м.

CALCULATION RESULTS:

Point

The desired value

Analytical solution

Calculation results (LIRA)

Uncertainty,%

СЕ

Longitudinal force, Н

584584

584584

0

Н

Moment М, Нм

49249,5

49249,5

0

D

Moving vD, м

-0,0005428

-0,0005428

0

Preview image: Array

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